English

On a linear differential game in the Hilbert space $\ell^2$

Optimization and Control 2023-02-06 v1 Functional Analysis

Abstract

Two-player pursuit-evasion differential game and time optimal zero control problem in 2\ell^2 are considered. Optimal control for the corresponding zero control problem is found. A strategy for the pursuer that guarantees the solution for the pursuit problem is constructed.

Keywords

Cite

@article{arxiv.2302.01632,
  title  = {On a linear differential game in the Hilbert space $\ell^2$},
  author = {Marks Ruziboev and Khudoyor Mamayusupov and Gafurjan Ibragimov and Adkham Khaitmetov},
  journal= {arXiv preprint arXiv:2302.01632},
  year   = {2023}
}
R2 v1 2026-06-28T08:31:10.752Z